#OK to post homework #Ramesh Balaji,2/12/2024,hwValentine # Hi! I put a lot of effort into this. If you run it, please wait at least a minute (it will 100% run faster than that), # for the plot to actually generate. You should open Maple, and run "read hwValentineRameshBalaji.txt;" to see the output. # If it does not load (it should), please look at this picture of the plot that I saved: # https://raw.githubusercontent.com/yuv418/math640/master/maple/valentines-hw/hwValentineImage.png # I have a story to tell about this. For HackRU (the Rutgers hackathon), my team made a Karaoke machine in Desmos (Desmos can play music!) # and part of that was converting TTF (font) files to Desmos functions. The way TTF files are defined are in terms of SVG paths, which consist # of lines and Bezier curves, both of which we can plot in any plotting software, like Desmos. I wrote a Rust program to do this during the hackathon. # Emojis are also defined in terms of Bezier curves and lines. I figured I could choose a nice heart emoji and draw it using an SVG renderer. So # I adapted my old TTF renderer to work with arbitrary emoji SVGs, and changed it to output plots in Maple as opposed to Desmos. # At the same time, since my code was based on the font renderer, the font rendering still worked. # So I used a combination of emojis and text rendering with a nice cursive font to generate this Maple plot, which probably looks very tedious to do by hand! # So just note, it wasn't done by hand. You can view the code for my plot generator here: # https://github.com/yuv418/math640/tree/master/maple/valentines-hw/text_renderer # Please consider voting for me (: with(plots): text_plot:=plot([[(52.376) + (((1-t)^2) * ((52.424) - (52.376))) + ((t^2)*((52.324) - (52.376))), (-63.744) + (((1-t)^2) * ((-63.752) - (-63.744))) + ((t^2)*((-63.724) - (-63.744))), t=0..1],[(52.272) + (((1-t)^2) * ((52.324) - (52.272))) + ((t^2)*((52.232) - (52.272))), (-63.704) + (((1-t)^2) * ((-63.724) - (-63.704))) + ((t^2)*((-63.672) - (-63.704))), t=0..1],[(52.248) + (((1-t)^2) * ((52.232) - (52.248))) + ((t^2)*((52.22) - (52.248))), (-63.064) + (((1-t)^2) * ((-63.672) - (-63.064))) + ((t^2)*((-62.5) - (-63.064))), t=0..1],[(52.192) + (((1-t)^2) * ((52.22) - (52.192))) + ((t^2)*((52.192) - (52.192))), (-61.936) + (((1-t)^2) * ((-62.5) - (-61.936))) + ((t^2)*((-61.328) - (-61.936))), t=0..1],[(52.192) + (((1-t)^2) * ((52.192) - (52.192))) + ((t^2)*((52.232) - (52.192))), (-61.008) + (((1-t)^2) * ((-61.328) - 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(-71.5243))) + ((t^2)*((-71.5176) - (-71.5243))), t=0..1],[(88.0517) + (((1-t)^2) * ((88.07514) - (88.0517))) + ((t^2)*((88.028244) - (88.0517))), (-71.5109) + (((1-t)^2) * ((-71.5176) - (-71.5109))) + ((t^2)*((-71.48075) - (-71.5109))), t=0..1],[(88.0048) + (((1-t)^2) * ((88.028244) - (88.0048))) + ((t^2)*((87.991394) - (88.0048))), (-71.4506) + (((1-t)^2) * ((-71.48075) - (-71.4506))) + ((t^2)*((-71.38695) - (-71.4506))), t=0..1],[(87.978) + (((1-t)^2) * ((87.991394) - (87.978))) + ((t^2)*((87.984695) - (87.978))), (-71.3233) + (((1-t)^2) * ((-71.38695) - (-71.3233))) + ((t^2)*((-71.2027) - (-71.3233))), t=0..1]], color=orange, scaling=constrained,thickness=3): heart_hands:=plot([[(64.7) + ((64.7) - (64.7))*t, (-54.6) + ((-45.399998) - (-54.6))*t, t=0..1],[(((1-t)^3) * (64.7)) + (3*((1-t)^2)*t*(64.7)) + (3*(1-t)*(t^2)*(62.399998)) + (t^3)*(59.6), (((1-t)^3) * (-45.399998)) + (3*((1-t)^2)*t*(-43.1)) + (3*(1-t)*(t^2)*(-31.399998)) + (t^3)*(-27.899998), t=0..1],[(((1-t)^3) * (59.6)) + (3*((1-t)^2)*t*(57.8)) + (3*(1-t)*(t^2)*(53)) + (t^3)*(48.3), (((1-t)^3) * (-27.899998)) + (3*((1-t)^2)*t*(-25.699997)) + (3*(1-t)*(t^2)*(-22.699997)) + (t^3)*(-19.799997), t=0..1],[(((1-t)^3) * (48.3)) + (3*((1-t)^2)*t*(47.399998)) + (3*(1-t)*(t^2)*(46.7)) + (t^3)*(46.2), (((1-t)^3) * (-19.799997)) + (3*((1-t)^2)*t*(-19.299997)) + (3*(1-t)*(t^2)*(-18.799997)) + (t^3)*(-18.499998), t=0..1],[(((1-t)^3) * (46.2)) + (3*((1-t)^2)*t*(44)) + (3*(1-t)*(t^2)*(41)) + (t^3)*(37.4), (((1-t)^3) * (-18.499998)) + (3*((1-t)^2)*t*(-17)) + (3*(1-t)*(t^2)*(-17.1)) + (t^3)*(-18.7), t=0..1],[(((1-t)^3) * (37.4)) + (3*((1-t)^2)*t*(29.500002)) + (3*(1-t)*(t^2)*(15.600002)) + (t^3)*(13.200001), (((1-t)^3) * (-18.7)) + (3*((1-t)^2)*t*(-22.300001)) + (3*(1-t)*(t^2)*(-30.900002)) + (t^3)*(-32.800003), t=0..1],[(((1-t)^3) * (13.200001)) + (3*((1-t)^2)*t*(9.1)) + (3*(1-t)*(t^2)*(6.100001)) + (t^3)*(3.3000011), (((1-t)^3) * (-32.800003)) + (3*((1-t)^2)*t*(-36.100002)) + (3*(1-t)*(t^2)*(-40.300003)) + (t^3)*(-44.500004), t=0..1],[(3.3000011) + ((3.3000011) - (3.3000011))*t, (-44.500004) + ((-48.800003) - (-44.500004))*t, t=0..1],[(((1-t)^3) * (3.3000011)) + (3*((1-t)^2)*t*(6.6000013)) + (3*(1-t)*(t^2)*(11.400002)) + (t^3)*(15.100001), (((1-t)^3) * (-48.800003)) + (3*((1-t)^2)*t*(-44.700005)) + (3*(1-t)*(t^2)*(-38.100002)) + (t^3)*(-35.100002), t=0..1],[(((1-t)^3) * (15.100001)) + (3*((1-t)^2)*t*(17.400002)) + (3*(1-t)*(t^2)*(31.100002)) + (t^3)*(38.7), (((1-t)^3) * (-35.100002)) + (3*((1-t)^2)*t*(-33.300003)) + (3*(1-t)*(t^2)*(-24.800003)) + (t^3)*(-21.400002), t=0..1],[(((1-t)^3) * (38.7)) + (3*((1-t)^2)*t*(41.3)) + (3*(1-t)*(t^2)*(43.4)) + (t^3)*(44.7), (((1-t)^3) * (-21.400002)) + (3*((1-t)^2)*t*(-20.2)) + (3*(1-t)*(t^2)*(-20.000002)) + (t^3)*(-20.900002), t=0..1],[(((1-t)^3) * (44.7)) + (3*((1-t)^2)*t*(45.2)) + (3*(1-t)*(t^2)*(45.9)) + (t^3)*(46.8), (((1-t)^3) * (-20.900002)) + (3*((1-t)^2)*t*(-21.2)) + (3*(1-t)*(t^2)*(-21.7)) + (t^3)*(-22.2), t=0..1],[(((1-t)^3) * (46.8)) + (3*((1-t)^2)*t*(49.899998)) + (3*(1-t)*(t^2)*(55.8)) + (t^3)*(57.4), (((1-t)^3) * (-22.2)) + (3*((1-t)^2)*t*(-24.1)) + (3*(1-t)*(t^2)*(-27.7)) + (t^3)*(-29.7), t=0..1],[(((1-t)^3) * (57.4)) + (3*((1-t)^2)*t*(58.300003)) + (3*(1-t)*(t^2)*(59.100002)) + (t^3)*(59.7), (((1-t)^3) * (-29.7)) + (3*((1-t)^2)*t*(-30.800001)) + (3*(1-t)*(t^2)*(-32.8)) + (t^3)*(-34.7), t=0..1],[(((1-t)^3) * (59.7)) + (3*((1-t)^2)*t*(58.4)) + (3*(1-t)*(t^2)*(56.5)) + (t^3)*(54.7), (((1-t)^3) * (-34.7)) + (3*((1-t)^2)*t*(-33.7)) + (3*(1-t)*(t^2)*(-32.5)) + (t^3)*(-31.2), t=0..1],[(((1-t)^3) * (54.7)) + (3*((1-t)^2)*t*(52.5)) + (3*(1-t)*(t^2)*(50.4)) + (t^3)*(49.5), (((1-t)^3) * (-31.2)) + (3*((1-t)^2)*t*(-29.7)) + (3*(1-t)*(t^2)*(-28.300001)) + (t^3)*(-27.6), t=0..1],[(((1-t)^3) * (49.5)) + (3*((1-t)^2)*t*(44.5)) + (3*(1-t)*(t^2)*(38.6)) + (t^3)*(36.3), (((1-t)^3) * (-27.6)) + (3*((1-t)^2)*t*(-23.800001)) + (3*(1-t)*(t^2)*(-25.6)) + (t^3)*(-26.5), t=0..1],[(((1-t)^3) * (36.3)) + (3*((1-t)^2)*t*(33.8)) + (3*(1-t)*(t^2)*(26.3)) + (t^3)*(24.9), (((1-t)^3) * (-26.5)) + (3*((1-t)^2)*t*(-27.5)) + (3*(1-t)*(t^2)*(-32.7)) + (t^3)*(-33.5), t=0..1],[(((1-t)^3) * (24.9)) + (3*((1-t)^2)*t*(22.5)) + (3*(1-t)*(t^2)*(21)) + (t^3)*(20.9), (((1-t)^3) * (-33.5)) + (3*((1-t)^2)*t*(-35)) + (3*(1-t)*(t^2)*(-36.9)) + (t^3)*(-37.3), t=0..1],[(((1-t)^3) * (20.9)) + (3*((1-t)^2)*t*(20.7)) + (3*(1-t)*(t^2)*(24)) + (t^3)*(24), (((1-t)^3) * (-37.3)) + (3*((1-t)^2)*t*(-38)) + (3*(1-t)*(t^2)*(-36.2)) + (t^3)*(-36.2), t=0..1],[(((1-t)^3) * (24)) + (3*((1-t)^2)*t*(24.1)) + (3*(1-t)*(t^2)*(34.4)) + (t^3)*(37.4), (((1-t)^3) * (-36.2)) + (3*((1-t)^2)*t*(-36.100002)) + (3*(1-t)*(t^2)*(-30.5)) + (t^3)*(-29.300001), t=0..1],[(((1-t)^3) * (37.4)) + (3*((1-t)^2)*t*(39.7)) + (3*(1-t)*(t^2)*(44.100002)) + (t^3)*(47.7), (((1-t)^3) * (-29.300001)) + (3*((1-t)^2)*t*(-28.400002)) + (3*(1-t)*(t^2)*(-27.300001)) + (t^3)*(-30.000002), t=0..1],[(((1-t)^3) * (47.7)) + (3*((1-t)^2)*t*(48.7)) + (3*(1-t)*(t^2)*(50.8)) + (t^3)*(53), (((1-t)^3) * (-30.000002)) + (3*((1-t)^2)*t*(-30.700003)) + (3*(1-t)*(t^2)*(-32.2)) + (t^3)*(-33.7), t=0..1],[(((1-t)^3) * (53)) + (3*((1-t)^2)*t*(55.6)) + (3*(1-t)*(t^2)*(58.5)) + (t^3)*(59.4), (((1-t)^3) * (-33.7)) + (3*((1-t)^2)*t*(-35.5)) + (3*(1-t)*(t^2)*(-37.5)) + (t^3)*(-38.2), t=0..1],[(((1-t)^3) * (59.4)) + (3*((1-t)^2)*t*(60.4)) + (3*(1-t)*(t^2)*(61.5)) + (t^3)*(62), (((1-t)^3) * (-38.2)) + (3*((1-t)^2)*t*(-39)) + (3*(1-t)*(t^2)*(-39.4)) + (t^3)*(-43.5), t=0..1],[(62) + ((63.1) - (62))*t, (-43.5) + ((-52.4) - (-43.5))*t, t=0..1],[(((1-t)^3) * (63.1)) + (3*((1-t)^2)*t*(63.1)) + (3*(1-t)*(t^2)*(61.199997)) + (t^3)*(60.5), (((1-t)^3) * (-52.4)) + (3*((1-t)^2)*t*(-54.100002)) + (3*(1-t)*(t^2)*(-54.300003)) + (t^3)*(-54), t=0..1],[(((1-t)^3) * (60.5)) + (3*((1-t)^2)*t*(56.7)) + (3*(1-t)*(t^2)*(56.5)) + (t^3)*(56), (((1-t)^3) * (-54)) + (3*((1-t)^2)*t*(-52.6)) + (3*(1-t)*(t^2)*(-49.5)) + (t^3)*(-48.1), t=0..1],[(((1-t)^3) * (56)) + (3*((1-t)^2)*t*(55.5)) + (3*(1-t)*(t^2)*(55)) + (t^3)*(54.1), (((1-t)^3) * (-48.1)) + (3*((1-t)^2)*t*(-46.6)) + (3*(1-t)*(t^2)*(-45.1)) + (t^3)*(-44.199997), t=0..1],[(((1-t)^3) * (54.1)) + (3*((1-t)^2)*t*(52.3)) + (3*(1-t)*(t^2)*(45.3)) + (t^3)*(42.6), (((1-t)^3) * (-44.199997)) + (3*((1-t)^2)*t*(-42.499996)) + (3*(1-t)*(t^2)*(-40.299995)) + (t^3)*(-40.699997), t=0..1],[(((1-t)^3) * (42.6)) + (3*((1-t)^2)*t*(39.199997)) + (3*(1-t)*(t^2)*(28.999998)) + (t^3)*(26.599998), (((1-t)^3) * (-40.699997)) + (3*((1-t)^2)*t*(-41.199997)) + (3*(1-t)*(t^2)*(-44.799995)) + (t^3)*(-55.199997), t=0..1],[(((1-t)^3) * (26.599998)) + (3*((1-t)^2)*t*(25.199999)) + (3*(1-t)*(t^2)*(26.999998)) + (t^3)*(33.199997), (((1-t)^3) * (-55.199997)) + (3*((1-t)^2)*t*(-61.499996)) + (3*(1-t)*(t^2)*(-70.6)) + (t^3)*(-75.799995), t=0..1],[(((1-t)^3) * (33.199997)) + (3*((1-t)^2)*t*(39.499996)) + (3*(1-t)*(t^2)*(44.6)) + (t^3)*(49.199997), (((1-t)^3) * (-75.799995)) + (3*((1-t)^2)*t*(-81.1)) + (3*(1-t)*(t^2)*(-83.7)) + (t^3)*(-86.1), t=0..1],[(49.199997) + ((50.499996) - (49.199997))*t, (-86.1) + ((-86.799995) - (-86.1))*t, t=0..1],[(((1-t)^3) * (50.499996)) + (3*((1-t)^2)*t*(54.199997)) + (3*(1-t)*(t^2)*(58.399998)) + (t^3)*(60.699997), (((1-t)^3) * (-86.799995)) + (3*((1-t)^2)*t*(-88.7)) + (3*(1-t)*(t^2)*(-90.799995)) + (t^3)*(-96.399994), t=0..1],[(((1-t)^3) * (60.699997)) + (3*((1-t)^2)*t*(61.399998)) + (3*(1-t)*(t^2)*(61.499996)) + (t^3)*(60.299995), (((1-t)^3) * (-96.399994)) + (3*((1-t)^2)*t*(-98.09999)) + (3*(1-t)*(t^2)*(-100.49999)) + (t^3)*(-101.799995), t=0..1],[(((1-t)^3) * (60.299995)) + (3*((1-t)^2)*t*(59.799995)) + (3*(1-t)*(t^2)*(58.899994)) + (t^3)*(58.399994), (((1-t)^3) * (-101.799995)) + (3*((1-t)^2)*t*(-102.299995)) + (3*(1-t)*(t^2)*(-102.299995)) + (t^3)*(-101.899994), t=0..1],[(((1-t)^3) * (58.399994)) + (3*((1-t)^2)*t*(52.499992)) + (3*(1-t)*(t^2)*(42.599995)) + (t^3)*(25.599995), (((1-t)^3) * (-101.899994)) + (3*((1-t)^2)*t*(-96.899994)) + (3*(1-t)*(t^2)*(-90.399994)) + (t^3)*(-90.99999), t=0..1],[(((1-t)^3) * (25.599995)) + (3*((1-t)^2)*t*(22.099995)) + (3*(1-t)*(t^2)*(15.599995)) + (t^3)*(10.199995), (((1-t)^3) * (-90.99999)) + (3*((1-t)^2)*t*(-91.09999)) + (3*(1-t)*(t^2)*(-91.99999)) + (t^3)*(-86.799995), t=0..1],[(((1-t)^3) * (10.199995)) + (3*((1-t)^2)*t*(9.199995)) + (3*(1-t)*(t^2)*(8.399995)) + (t^3)*(7.899995), (((1-t)^3) * (-86.799995)) + (3*((1-t)^2)*t*(-85.899994)) + (3*(1-t)*(t^2)*(-84.899994)) + (t^3)*(-84.299995), t=0..1],[(((1-t)^3) * (7.899995)) + (3*((1-t)^2)*t*(7.699995)) + (3*(1-t)*(t^2)*(7.299995)) + (t^3)*(7.299995), (((1-t)^3) * (-84.299995)) + (3*((1-t)^2)*t*(-84.1)) + (3*(1-t)*(t^2)*(-84.2)) + (t^3)*(-84.49999), t=0..1],[(((1-t)^3) * (7.299995)) + (3*((1-t)^2)*t*(7.099995)) + (3*(1-t)*(t^2)*(11.899995)) + (t^3)*(14.299995), (((1-t)^3) * (-84.49999)) + (3*((1-t)^2)*t*(-87.99999)) + (3*(1-t)*(t^2)*(-92.299995)) + (t^3)*(-92.69999), t=0..1],[(((1-t)^3) * (14.299995)) + (3*((1-t)^2)*t*(9.399996)) + (3*(1-t)*(t^2)*(5.399996)) + (t^3)*(3.2999954), (((1-t)^3) * (-92.69999)) + (3*((1-t)^2)*t*(-95.09999)) + (3*(1-t)*(t^2)*(-99.29999)) + (t^3)*(-101.79999), t=0..1],[(3.2999954) + ((3.2999954) - (3.2999954))*t, (-101.79999) + ((-106.29999) - (-101.79999))*t, t=0..1],[(((1-t)^3) * (3.2999954)) + (3*((1-t)^2)*t*(6.499995)) + (3*(1-t)*(t^2)*(13.899996)) + (t^3)*(20.499996), (((1-t)^3) * (-106.29999)) + (3*((1-t)^2)*t*(-102.499985)) + (3*(1-t)*(t^2)*(-94.69999)) + (t^3)*(-93.79999), t=0..1],[(((1-t)^3) * (20.499996)) + (3*((1-t)^2)*t*(22.499996)) + (3*(1-t)*(t^2)*(24.299995)) + (t^3)*(25.699997), (((1-t)^3) * (-93.79999)) + (3*((1-t)^2)*t*(-93.999985)) + (3*(1-t)*(t^2)*(-93.999985)) + (t^3)*(-93.89999), t=0..1],[(((1-t)^3) * (25.699997)) + (3*((1-t)^2)*t*(41.799995)) + (3*(1-t)*(t^2)*(50.999996)) + (t^3)*(56.499996), (((1-t)^3) * (-93.89999)) + (3*((1-t)^2)*t*(-93.39999)) + (3*(1-t)*(t^2)*(-99.499985)) + (t^3)*(-104.09998), t=0..1],[(((1-t)^3) * (56.499996)) + (3*((1-t)^2)*t*(57.299995)) + (3*(1-t)*(t^2)*(58.299995)) + (t^3)*(59.399998), (((1-t)^3) * (-104.09998)) + (3*((1-t)^2)*t*(-104.79998)) + (3*(1-t)*(t^2)*(-105.09998)) + (t^3)*(-105.09998), t=0..1],[(((1-t)^3) * (59.399998)) + (3*((1-t)^2)*t*(60.6)) + (3*(1-t)*(t^2)*(61.699997)) + (t^3)*(62.6), (((1-t)^3) * (-105.09998)) + (3*((1-t)^2)*t*(-105.09998)) + (3*(1-t)*(t^2)*(-104.69998)) + (t^3)*(-103.79998), t=0..1],[(((1-t)^3) * (62.6)) + (3*((1-t)^2)*t*(64.799995)) + (3*(1-t)*(t^2)*(64.7)) + (t^3)*(63.6), (((1-t)^3) * (-103.79998)) + (3*((1-t)^2)*t*(-101.49998)) + (3*(1-t)*(t^2)*(-97.79998)) + (t^3)*(-95.19998), t=0..1],[(((1-t)^3) * (63.6)) + (3*((1-t)^2)*t*(60.9)) + (3*(1-t)*(t^2)*(55.7)) + (t^3)*(52), (((1-t)^3) * (-95.19998)) + (3*((1-t)^2)*t*(-88.7)) + (3*(1-t)*(t^2)*(-86)) + (t^3)*(-84.1), t=0..1],[(52) + ((50.7) - (52))*t, (-84.1) + ((-83.4) - (-84.1))*t, t=0..1],[(((1-t)^3) * (50.7)) + (3*((1-t)^2)*t*(46.100002)) + (3*(1-t)*(t^2)*(41.300003)) + (t^3)*(35.300003), (((1-t)^3) * (-83.4)) + (3*((1-t)^2)*t*(-81)) + (3*(1-t)*(t^2)*(-78.5)) + (t^3)*(-73.5), t=0..1],[(((1-t)^3) * (35.300003)) + (3*((1-t)^2)*t*(30.100002)) + (3*(1-t)*(t^2)*(28.500004)) + (t^3)*(29.700003), (((1-t)^3) * (-73.5)) + (3*((1-t)^2)*t*(-69.1)) + (3*(1-t)*(t^2)*(-61.2)) + (t^3)*(-55.9), t=0..1],[(((1-t)^3) * (29.700003)) + (3*((1-t)^2)*t*(31.9)) + (3*(1-t)*(t^2)*(42.9)) + (t^3)*(43), (((1-t)^3) * (-55.9)) + (3*((1-t)^2)*t*(-45.9)) + (3*(1-t)*(t^2)*(-44)) + (t^3)*(-44), t=0..1],[(((1-t)^3) * (43)) + (3*((1-t)^2)*t*(44.9)) + (3*(1-t)*(t^2)*(50.9)) + (t^3)*(52), (((1-t)^3) * (-44)) + (3*((1-t)^2)*t*(-43.8)) + (3*(1-t)*(t^2)*(-45.7)) + (t^3)*(-46.7), t=0..1],[(((1-t)^3) * (52)) + (3*((1-t)^2)*t*(53)) + (3*(1-t)*(t^2)*(53.5)) + (t^3)*(56.1), (((1-t)^3) * (-46.7)) + (3*((1-t)^2)*t*(-47.600002)) + (3*(1-t)*(t^2)*(-52)) + (t^3)*(-54.4), t=0..1],[(((1-t)^3) * (56.1)) + (3*((1-t)^2)*t*(60.6)) + (3*(1-t)*(t^2)*(64.7)) + (t^3)*(64.7), (((1-t)^3) * (-54.4)) + (3*((1-t)^2)*t*(-58.8)) + (3*(1-t)*(t^2)*(-56)) + (t^3)*(-54.6), t=0..1],[(63.3) + ((63.3) - (63.3))*t, (-54.6) + ((-45.399998) - (-54.6))*t, t=0..1],[(((1-t)^3) * (63.3)) + (3*((1-t)^2)*t*(63.3)) + (3*(1-t)*(t^2)*(65.6)) + (t^3)*(68.4), (((1-t)^3) * (-45.399998)) + (3*((1-t)^2)*t*(-43.1)) + (3*(1-t)*(t^2)*(-31.399998)) + (t^3)*(-27.899998), t=0..1],[(((1-t)^3) * (68.4)) + (3*((1-t)^2)*t*(70.200005)) + (3*(1-t)*(t^2)*(75)) + (t^3)*(79.700005), (((1-t)^3) * (-27.899998)) + (3*((1-t)^2)*t*(-25.699997)) + (3*(1-t)*(t^2)*(-22.699997)) + (t^3)*(-19.799997), t=0..1],[(((1-t)^3) * (79.700005)) + (3*((1-t)^2)*t*(80.600006)) + (3*(1-t)*(t^2)*(81.3)) + (t^3)*(81.8), (((1-t)^3) * (-19.799997)) + (3*((1-t)^2)*t*(-19.299997)) + (3*(1-t)*(t^2)*(-18.799997)) + (t^3)*(-18.499998), t=0..1],[(((1-t)^3) * (81.8)) + (3*((1-t)^2)*t*(84.100006)) + (3*(1-t)*(t^2)*(87)) + (t^3)*(90.700005), (((1-t)^3) * (-18.499998)) + (3*((1-t)^2)*t*(-16.999998)) + (3*(1-t)*(t^2)*(-17.099998)) + (t^3)*(-18.799997), t=0..1],[(((1-t)^3) * (90.700005)) + (3*((1-t)^2)*t*(98.600006)) + (3*(1-t)*(t^2)*(112.5)) + (t^3)*(114.90001), (((1-t)^3) * (-18.799997)) + (3*((1-t)^2)*t*(-22.399998)) + (3*(1-t)*(t^2)*(-30.999996)) + (t^3)*(-32.899998), t=0..1],[(((1-t)^3) * (114.90001)) + (3*((1-t)^2)*t*(119.00001)) + (3*(1-t)*(t^2)*(122.00001)) + (t^3)*(124.80001), (((1-t)^3) * (-32.899998)) + (3*((1-t)^2)*t*(-36.199997)) + (3*(1-t)*(t^2)*(-40.399998)) + (t^3)*(-44.6), t=0..1],[(124.80001) + ((124.80001) - (124.80001))*t, (-44.6) + ((-48.899998) - (-44.6))*t, t=0..1],[(((1-t)^3) * (124.80001)) + (3*((1-t)^2)*t*(121.50001)) + (3*(1-t)*(t^2)*(116.70001)) + (t^3)*(113.00001), (((1-t)^3) * (-48.899998)) + (3*((1-t)^2)*t*(-44.8)) + (3*(1-t)*(t^2)*(-38.199997)) + (t^3)*(-35.199997), t=0..1],[(((1-t)^3) * (113.00001)) + (3*((1-t)^2)*t*(110.700005)) + (3*(1-t)*(t^2)*(97.00001)) + (t^3)*(89.40001), (((1-t)^3) * (-35.199997)) + (3*((1-t)^2)*t*(-33.399998)) + (3*(1-t)*(t^2)*(-24.899998)) + (t^3)*(-21.499996), t=0..1],[(((1-t)^3) * (89.40001)) + (3*((1-t)^2)*t*(86.80001)) + (3*(1-t)*(t^2)*(84.70001)) + (t^3)*(83.40001), (((1-t)^3) * (-21.499996)) + (3*((1-t)^2)*t*(-20.299995)) + (3*(1-t)*(t^2)*(-20.099997)) + (t^3)*(-20.999996), t=0..1],[(((1-t)^3) * (83.40001)) + (3*((1-t)^2)*t*(82.90001)) + (3*(1-t)*(t^2)*(82.20001)) + (t^3)*(81.30001), (((1-t)^3) * (-20.999996)) + (3*((1-t)^2)*t*(-21.299995)) + (3*(1-t)*(t^2)*(-21.799995)) + (t^3)*(-22.299995), t=0..1],[(((1-t)^3) * (81.30001)) + (3*((1-t)^2)*t*(78.20001)) + (3*(1-t)*(t^2)*(72.30001)) + (t^3)*(70.70001), (((1-t)^3) * (-22.299995)) + (3*((1-t)^2)*t*(-24.199995)) + (3*(1-t)*(t^2)*(-27.799995)) + (t^3)*(-29.799995), t=0..1],[(((1-t)^3) * (70.70001)) + (3*((1-t)^2)*t*(69.80001)) + (3*(1-t)*(t^2)*(69.000015)) + (t^3)*(68.40001), (((1-t)^3) * (-29.799995)) + (3*((1-t)^2)*t*(-30.899996)) + (3*(1-t)*(t^2)*(-32.899994)) + (t^3)*(-34.799995), t=0..1],[(((1-t)^3) * (68.40001)) + (3*((1-t)^2)*t*(69.70001)) + (3*(1-t)*(t^2)*(71.600006)) + (t^3)*(73.40001), (((1-t)^3) * (-34.799995)) + (3*((1-t)^2)*t*(-33.799995)) + (3*(1-t)*(t^2)*(-32.599995)) + (t^3)*(-31.299995), t=0..1],[(((1-t)^3) * (73.40001)) + (3*((1-t)^2)*t*(75.600006)) + (3*(1-t)*(t^2)*(77.70001)) + (t^3)*(78.600006), (((1-t)^3) * (-31.299995)) + (3*((1-t)^2)*t*(-29.799995)) + (3*(1-t)*(t^2)*(-28.399996)) + (t^3)*(-27.699995), t=0..1],[(((1-t)^3) * (78.600006)) + (3*((1-t)^2)*t*(83.600006)) + (3*(1-t)*(t^2)*(89.50001)) + (t^3)*(91.8), (((1-t)^3) * (-27.699995)) + (3*((1-t)^2)*t*(-23.899996)) + (3*(1-t)*(t^2)*(-25.699995)) + (t^3)*(-26.599995), t=0..1],[(((1-t)^3) * (91.8)) + (3*((1-t)^2)*t*(94.3)) + (3*(1-t)*(t^2)*(101.8)) + (t^3)*(103.200005), (((1-t)^3) * (-26.599995)) + (3*((1-t)^2)*t*(-27.599995)) + (3*(1-t)*(t^2)*(-32.799995)) + (t^3)*(-33.599995), t=0..1],[(((1-t)^3) * (103.200005)) + (3*((1-t)^2)*t*(105.600006)) + (3*(1-t)*(t^2)*(107.100006)) + (t^3)*(107.200005), (((1-t)^3) * (-33.599995)) + (3*((1-t)^2)*t*(-35.099995)) + (3*(1-t)*(t^2)*(-36.999996)) + (t^3)*(-37.399994), t=0..1],[(((1-t)^3) * (107.200005)) + (3*((1-t)^2)*t*(107.3)) + (3*(1-t)*(t^2)*(104.100006)) + (t^3)*(104.100006), (((1-t)^3) * (-37.399994)) + (3*((1-t)^2)*t*(-37.899994)) + (3*(1-t)*(t^2)*(-36.099995)) + (t^3)*(-36.099995), t=0..1],[(((1-t)^3) * (104.100006)) + (3*((1-t)^2)*t*(104.00001)) + (3*(1-t)*(t^2)*(93.700005)) + (t^3)*(90.700005), (((1-t)^3) * (-36.099995)) + (3*((1-t)^2)*t*(-35.999996)) + (3*(1-t)*(t^2)*(-30.399994)) + (t^3)*(-29.199995), t=0..1],[(((1-t)^3) * (90.700005)) + (3*((1-t)^2)*t*(88.4)) + (3*(1-t)*(t^2)*(84.00001)) + (t^3)*(80.4), (((1-t)^3) * (-29.199995)) + (3*((1-t)^2)*t*(-28.299995)) + (3*(1-t)*(t^2)*(-27.199995)) + (t^3)*(-29.899996), t=0..1],[(((1-t)^3) * (80.4)) + (3*((1-t)^2)*t*(79.4)) + (3*(1-t)*(t^2)*(77.3)) + (t^3)*(75.1), (((1-t)^3) * (-29.899996)) + (3*((1-t)^2)*t*(-30.599997)) + (3*(1-t)*(t^2)*(-32.099995)) + (t^3)*(-33.599995), t=0..1],[(((1-t)^3) * (75.1)) + (3*((1-t)^2)*t*(72.5)) + (3*(1-t)*(t^2)*(69.6)) + (t^3)*(68.7), (((1-t)^3) * (-33.599995)) + (3*((1-t)^2)*t*(-35.399994)) + (3*(1-t)*(t^2)*(-37.399994)) + (t^3)*(-38.099995), t=0..1],[(((1-t)^3) * (68.7)) + (3*((1-t)^2)*t*(67.7)) + (3*(1-t)*(t^2)*(66.6)) + (t^3)*(66.1), (((1-t)^3) * (-38.099995)) + (3*((1-t)^2)*t*(-38.899994)) + (3*(1-t)*(t^2)*(-39.299995)) + (t^3)*(-43.399994), t=0..1],[(66.1) + ((65) - (66.1))*t, (-43.399994) + ((-52.6) - (-43.399994))*t, t=0..1],[(((1-t)^3) * (65)) + (3*((1-t)^2)*t*(65)) + (3*(1-t)*(t^2)*(66.9)) + (t^3)*(67.6), (((1-t)^3) * (-52.6)) + (3*((1-t)^2)*t*(-54.3)) + (3*(1-t)*(t^2)*(-54.5)) + (t^3)*(-54.199997), t=0..1],[(((1-t)^3) * (67.6)) + (3*((1-t)^2)*t*(71.4)) + (3*(1-t)*(t^2)*(71.6)) + (t^3)*(72), (((1-t)^3) * (-54.199997)) + (3*((1-t)^2)*t*(-52.799995)) + (3*(1-t)*(t^2)*(-49.699997)) + (t^3)*(-48.299995), t=0..1],[(((1-t)^3) * (72)) + (3*((1-t)^2)*t*(72.5)) + (3*(1-t)*(t^2)*(72.9)) + (t^3)*(73.9), (((1-t)^3) * (-48.299995)) + (3*((1-t)^2)*t*(-46.799995)) + (3*(1-t)*(t^2)*(-45.299995)) + (t^3)*(-44.399994), t=0..1],[(((1-t)^3) * (73.9)) + (3*((1-t)^2)*t*(75.700005)) + (3*(1-t)*(t^2)*(82.700005)) + (t^3)*(85.4), (((1-t)^3) * (-44.399994)) + (3*((1-t)^2)*t*(-42.699993)) + (3*(1-t)*(t^2)*(-40.499992)) + (t^3)*(-40.899994), t=0..1],[(((1-t)^3) * (85.4)) + (3*((1-t)^2)*t*(88.8)) + (3*(1-t)*(t^2)*(99)) + (t^3)*(101.4), (((1-t)^3) * (-40.899994)) + (3*((1-t)^2)*t*(-41.399994)) + (3*(1-t)*(t^2)*(-44.999992)) + (t^3)*(-55.399994), t=0..1],[(((1-t)^3) * (101.4)) + (3*((1-t)^2)*t*(102.8)) + (3*(1-t)*(t^2)*(101)) + (t^3)*(94.8), (((1-t)^3) * (-55.399994)) + (3*((1-t)^2)*t*(-61.699993)) + (3*(1-t)*(t^2)*(-70.799995)) + (t^3)*(-75.99999), t=0..1],[(((1-t)^3) * (94.8)) + (3*((1-t)^2)*t*(88.5)) + (3*(1-t)*(t^2)*(83.4)) + (t^3)*(78.8), (((1-t)^3) * (-75.99999)) + (3*((1-t)^2)*t*(-81.299995)) + (3*(1-t)*(t^2)*(-83.899994)) + (t^3)*(-86.299995), t=0..1],[(78.8) + ((77.5) - (78.8))*t, (-86.299995) + ((-87) - (-86.299995))*t, t=0..1],[(((1-t)^3) * (77.5)) + (3*((1-t)^2)*t*(73.8)) + (3*(1-t)*(t^2)*(69.6)) + (t^3)*(67.3), (((1-t)^3) * (-87)) + (3*((1-t)^2)*t*(-88.9)) + (3*(1-t)*(t^2)*(-91)) + (t^3)*(-96.6), t=0..1],[(((1-t)^3) * (67.3)) + (3*((1-t)^2)*t*(66.600006)) + (3*(1-t)*(t^2)*(66.5)) + (t^3)*(67.700005), (((1-t)^3) * (-96.6)) + (3*((1-t)^2)*t*(-98.299995)) + (3*(1-t)*(t^2)*(-100.7)) + (t^3)*(-102), t=0..1],[(((1-t)^3) * (67.700005)) + (3*((1-t)^2)*t*(68.200005)) + (3*(1-t)*(t^2)*(69.100006)) + (t^3)*(69.600006), (((1-t)^3) * (-102)) + (3*((1-t)^2)*t*(-102.5)) + (3*(1-t)*(t^2)*(-102.5)) + (t^3)*(-102.1), t=0..1],[(((1-t)^3) * (69.600006)) + (3*((1-t)^2)*t*(75.50001)) + (3*(1-t)*(t^2)*(85.40001)) + (t^3)*(102.40001), (((1-t)^3) * (-102.1)) + (3*((1-t)^2)*t*(-97.1)) + (3*(1-t)*(t^2)*(-90.6)) + (t^3)*(-91.2), t=0..1],[(((1-t)^3) * (102.40001)) + (3*((1-t)^2)*t*(105.90001)) + (3*(1-t)*(t^2)*(112.40001)) + (t^3)*(117.80001), (((1-t)^3) * (-91.2)) + (3*((1-t)^2)*t*(-91.299995)) + (3*(1-t)*(t^2)*(-92.2)) + (t^3)*(-87), t=0..1],[(((1-t)^3) * (117.80001)) + (3*((1-t)^2)*t*(118.80001)) + (3*(1-t)*(t^2)*(119.60001)) + (t^3)*(120.10001), (((1-t)^3) * (-87)) + (3*((1-t)^2)*t*(-86.1)) + (3*(1-t)*(t^2)*(-85.1)) + (t^3)*(-84.5), t=0..1],[(((1-t)^3) * (120.10001)) + (3*((1-t)^2)*t*(120.30001)) + (3*(1-t)*(t^2)*(120.70001)) + (t^3)*(120.70001), (((1-t)^3) * (-84.5)) + (3*((1-t)^2)*t*(-84.3)) + (3*(1-t)*(t^2)*(-84.4)) + (t^3)*(-84.7), t=0..1],[(((1-t)^3) * (120.70001)) + (3*((1-t)^2)*t*(120.90001)) + (3*(1-t)*(t^2)*(116.10001)) + (t^3)*(113.70001), (((1-t)^3) * (-84.7)) + (3*((1-t)^2)*t*(-88.2)) + (3*(1-t)*(t^2)*(-92.5)) + (t^3)*(-92.899994), t=0..1],[(((1-t)^3) * (113.70001)) + (3*((1-t)^2)*t*(118.60001)) + (3*(1-t)*(t^2)*(122.60001)) + (t^3)*(124.70001), (((1-t)^3) * (-92.899994)) + (3*((1-t)^2)*t*(-95.299995)) + (3*(1-t)*(t^2)*(-99.49999)) + (t^3)*(-101.99999), t=0..1],[(124.70001) + ((124.70001) - (124.70001))*t, (-101.99999) + ((-106.49999) - (-101.99999))*t, t=0..1],[(((1-t)^3) * (124.70001)) + (3*((1-t)^2)*t*(121.500015)) + (3*(1-t)*(t^2)*(114.10001)) + (t^3)*(107.500015), (((1-t)^3) * (-106.49999)) + (3*((1-t)^2)*t*(-102.69999)) + (3*(1-t)*(t^2)*(-94.899994)) + (t^3)*(-93.99999), t=0..1],[(((1-t)^3) * (107.500015)) + (3*((1-t)^2)*t*(105.500015)) + (3*(1-t)*(t^2)*(103.70001)) + (t^3)*(102.30002), (((1-t)^3) * (-93.99999)) + (3*((1-t)^2)*t*(-94.19999)) + (3*(1-t)*(t^2)*(-94.19999)) + (t^3)*(-94.09999), t=0..1],[(((1-t)^3) * (102.30002)) + (3*((1-t)^2)*t*(86.30002)) + (3*(1-t)*(t^2)*(77.000015)) + (t^3)*(71.500015), (((1-t)^3) * (-94.09999)) + (3*((1-t)^2)*t*(-93.59999)) + (3*(1-t)*(t^2)*(-99.69999)) + (t^3)*(-104.29999), t=0..1],[(((1-t)^3) * (71.500015)) + (3*((1-t)^2)*t*(70.70001)) + (3*(1-t)*(t^2)*(69.70001)) + (t^3)*(68.60001), (((1-t)^3) * (-104.29999)) + (3*((1-t)^2)*t*(-104.999985)) + (3*(1-t)*(t^2)*(-105.29999)) + (t^3)*(-105.29999), t=0..1],[(((1-t)^3) * (68.60001)) + (3*((1-t)^2)*t*(67.40002)) + (3*(1-t)*(t^2)*(66.30001)) + (t^3)*(65.40002), (((1-t)^3) * (-105.29999)) + (3*((1-t)^2)*t*(-105.29999)) + (3*(1-t)*(t^2)*(-104.89999)) + (t^3)*(-103.999985), t=0..1],[(((1-t)^3) * (65.40002)) + (3*((1-t)^2)*t*(63.200016)) + (3*(1-t)*(t^2)*(63.30002)) + (t^3)*(64.40002), (((1-t)^3) * (-103.999985)) + (3*((1-t)^2)*t*(-101.69998)) + (3*(1-t)*(t^2)*(-97.999985)) + (t^3)*(-95.39999), t=0..1],[(((1-t)^3) * (64.40002)) + (3*((1-t)^2)*t*(67.10001)) + (3*(1-t)*(t^2)*(72.30002)) + (t^3)*(76.000015), (((1-t)^3) * (-95.39999)) + (3*((1-t)^2)*t*(-88.89999)) + (3*(1-t)*(t^2)*(-86.19999)) + (t^3)*(-84.29999), t=0..1],[(76.000015) + ((77.30002) - (76.000015))*t, (-84.29999) + ((-83.59999) - (-84.29999))*t, t=0..1],[(((1-t)^3) * (77.30002)) + (3*((1-t)^2)*t*(81.90002)) + (3*(1-t)*(t^2)*(86.70002)) + (t^3)*(92.70002), (((1-t)^3) * (-83.59999)) + (3*((1-t)^2)*t*(-81.19999)) + (3*(1-t)*(t^2)*(-78.69999)) + (t^3)*(-73.69999), t=0..1],[(((1-t)^3) * (92.70002)) + (3*((1-t)^2)*t*(97.90002)) + (3*(1-t)*(t^2)*(99.50002)) + (t^3)*(98.30002), (((1-t)^3) * (-73.69999)) + (3*((1-t)^2)*t*(-69.29999)) + (3*(1-t)*(t^2)*(-61.39999)) + (t^3)*(-56.09999), t=0..1],[(((1-t)^3) * (98.30002)) + (3*((1-t)^2)*t*(96.1)) + (3*(1-t)*(t^2)*(85.1)) + (t^3)*(85), (((1-t)^3) * (-56.09999)) + (3*((1-t)^2)*t*(-45.9)) + (3*(1-t)*(t^2)*(-44)) + (t^3)*(-44), t=0..1],[(((1-t)^3) * (85)) + (3*((1-t)^2)*t*(83.1)) + (3*(1-t)*(t^2)*(77.1)) + (t^3)*(76), (((1-t)^3) * (-44)) + (3*((1-t)^2)*t*(-43.8)) + (3*(1-t)*(t^2)*(-45.7)) + (t^3)*(-46.7), t=0..1],[(((1-t)^3) * (76)) + (3*((1-t)^2)*t*(75)) + (3*(1-t)*(t^2)*(74.4)) + (t^3)*(71.9), (((1-t)^3) * (-46.7)) + (3*((1-t)^2)*t*(-47.600002)) + (3*(1-t)*(t^2)*(-52)) + (t^3)*(-54.4), t=0..1],[(((1-t)^3) * (71.9)) + (3*((1-t)^2)*t*(67.4)) + (3*(1-t)*(t^2)*(63.3)) + (t^3)*(63.3), (((1-t)^3) * (-54.4)) + (3*((1-t)^2)*t*(-58.8)) + (3*(1-t)*(t^2)*(-56)) + (t^3)*(-54.6), t=0..1]], thickness=10, color=ColorTools:-Color(ColorTools:-HexToRGB24("#b98e6c"))): sparkle:=plot([[(118.107) + ((119.834) - 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